Finding the Third Proportional to 4,854.94 and 7,459.59

Step by Step Solution

1. Step 1: Write the proportion equation
   4,854.94 : 7,459.59 = 7,459.59 : x
2. Step 2: Convert to fraction form
   4,854.94/7,459.59 = 7,459.59/x
3. Step 3: Cross multiply
   4,854.94x = 7,459.59 × 7,459.59
4. Step 4: Simplify right side
   4,854.94x = 55,645,538.92
5. Step 5: Solve for x
   x = 55,645,538.92/4,854.94
6. Step 6: Final answer
   x = 11,461.64